Linear Algebra
Change of Basis
The linear map \(A \) from \( \mathbb{R}^2 \) into \(\mathbb R^2\) satisfies
\[\begin{aligned}
A\cv{3\\-3} &= \cv{18\\9}\\
A\cv{-2\\3} &= \cv{-15\\-11}\tiny{.}
\end{aligned}\]Determine the matrix of \( A\) with respect to the unit vectors.
\[\begin{aligned}
A\cv{3\\-3} &= \cv{18\\9}\\
A\cv{-2\\3} &= \cv{-15\\-11}\tiny{.}
\end{aligned}\]Determine the matrix of \( A\) with respect to the unit vectors.
| The matrix of \(A={}\) |
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